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Far-zone approximation for partially coherent sources.

Franco Gori1

  • 1Dipartimento di Fisica, Università Roma Tre, Via della Vasca Navale 84, Rome 100146, Italy. gori@uniroma3.it

Optics Letters
|November 11, 2005
PubMed
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Researchers derived a condition for using far-zone approximations in light propagation studies. This distance increases with source coherence, matching standard values for fully coherent light.

Area of Science:

  • Optics
  • Electromagnetism
  • Wave Propagation

Background:

  • The far-zone approximation simplifies electromagnetic wave analysis at large distances from a source.
  • Partially coherent sources exhibit less spatial correlation than coherent sources, potentially affecting approximation validity.

Purpose of the Study:

  • To establish a general condition for the applicability of the far-zone approximation for partially coherent light.
  • To investigate how source coherence influences the required distance for far-zone analysis.

Main Methods:

  • Derivation of a mathematical condition based on the source's coherence properties.
  • Analysis of the derived condition as a function of the coherence radius.

Main Results:

Related Experiment Videos

  • A general condition was established for the far-zone approximation's validity.
  • The minimum distance for the far-zone approximation increases with the source's coherence radius.
  • In the limit of a fully coherent source, the derived condition yields the conventional far-zone distance.

Conclusions:

  • The study provides a precise criterion for employing far-zone approximations with partially coherent light.
  • Source coherence is a critical factor determining the range of validity for far-zone approximations.
  • The findings refine the understanding of wave propagation from non-ideal sources.